**Answer:**

The graph which represents the function g(x) = 21·x² + 37·x + 12, is described as follows;

Because 'c' is positive, the constant terms in each factor must have the same signs

Because the function has a positive value for 'b', the constant terms in each factor will both be <u>positive</u> which results in negative <u>roots</u> and the graph of the function, g(x) = 21·x² + 37·x + 12, has two <u>negative</u> x-intercepts

The graph which represents the function h(x) = 21·x² - 37·x + 12, we have is described as follows;

Because 'c' is positive, the constant terms in each factor must have the same signs

Because the function has a negative value for 'b', the constant terms in each factor will both be <u>negative</u> which results in positive<u> roots</u> and the graph of the function, g(x) = 21·x² + 37·x + 12, has two <u>positive</u> x-intercepts

**Step-by-step explanation:**

The given functions are;

g(x) = 21·x² + 37·x + 12

h(x) = 21·x² - 37·x + 12

For the graph which represents the function g(x) = 21·x² + 37·x + 12, we have

Because 'c' is positive, the constant terms in each factor must have the same signs

Because the function has a positive value for 'b', the constant terms in each factor will both be <u>positive</u> which results in negative <u>roots</u> and the graph of the function, g(x) = 21·x² + 37·x + 12, has two <u>negative</u> x-intercepts

For the graph which represents the function h(x) = 21·x² - 37·x + 12, we have

Because 'c' is positive, the constant terms in each factor must have the same signs

Because the function has a negative value for 'b', the constant terms in each factor will both be <u>negative</u> which results in positive<u> roots</u> and the graph of the function, g(x) = 21·x² + 37·x + 12, has two <u>positive</u> x-intercepts